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Finding the Third Proportional to 31,685,818.50 and 66,776,181.75

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Solution

The third proportional to 31,685,818.50 and 66,776,181.75 is: 140,727,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,685,818.50 : 66,776,181.75 = 66,776,181.75 : x
  2. Step 2: Convert to fraction form
    31,685,818.50/66,776,181.75 = 66,776,181.75/x
  3. Step 3: Cross multiply
    31,685,818.50x = 66,776,181.75 × 66,776,181.75
  4. Step 4: Simplify right side
    31,685,818.50x = 4,459,058,449,109,033
  5. Step 5: Solve for x
    x = 4,459,058,449,109,033/31,685,818.50
  6. Step 6: Final answer
    x = 140,727,260.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.